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莫莱定理的一个新证广州师范学院数学系张映柬本文给出莫莱定理一个纯几何的构造性证明,它比文[1][2]所列几何证明,有其独特和简练之处.莫莱(Money)定理将△ABC各内角三等分,则每两个角相邻的三等分线交成正三角形PQR.证明设则作△EB’C’在外...
A new proof of Moray’s Theorem Zhang Yanchao, Department of Mathematics, Guangzhou Normal University This paper presents a pure geometric constructive proof of Moline’s theorem. It has unique and concise aspects compared with the geometric proofs listed in [1][2]. . The Money Theorem divides the internal angles of △ABC into three equal parts. Then every two corners adjacent to the three bisectors make a positive triangle PQR. Prove that the setting is △EB’C’